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Find the range of the function \(h(x)=\frac{5x^2+20x+23}{x^2+4x+5}\)
Enter your answer in interval notation.

 Mar 24, 2019
 #1
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The function will have a horizontal asymptote at y  =  (5x^2 / x^2)   =   5

 

The graph  here  shows  that  the  global minimum occurs at   (-2,3)  :

 

https://www.desmos.com/calculator/kztvawwhml

 

So.....the range is  [ 3, 5 )

 

 

cool cool cool

 Mar 24, 2019

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